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Omni-MATH / Given a circle with radius 1 and 2 points C, D given on it. Given a constant l…

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problem

Given a circle with radius 1 and 2 points C, D given on it. Given a constant l with

0<l\le 2

. Moving chord of the circle AB=l and ABCD is a non-degenerated convex quadrilateral. AC and BD intersects at P. Find the loci of the circumcenters of triangles ABP and BCP.

Plain-text mathematical notation (without MathML)

Given a circle with radius 1 and 2 points C, D given on it. Given a constant l with 0<l≤2. Moving chord of the circle AB=l and ABCD is a non-degenerated convex quadrilateral. AC and BD intersects at P. Find the loci of the circumcenters of triangles ABP and BCP.

Original LaTeX notation

Given a circle with radius 1 and 2 points C, D given on it. Given a constant l with $0<l\le 2$. Moving chord of the circle AB=l and ABCD is a non-degenerated convex quadrilateral. AC and BD intersects at P. Find the loci of the circumcenters of triangles ABP and BCP.

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task_id: 91d75c9c-46da-5ad6-a84a-e1aafc260356
task_key: test--91d75c9c-46da-5ad6-a84a-e1aafc260356
task_revision_id: 4
config / split: / test

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